TSTP Solution File: SET793+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:22:17 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 65 ( 5 unt; 0 def)
% Number of atoms : 219 ( 11 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 241 ( 87 ~; 92 |; 37 &)
% ( 9 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 115 ( 103 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(avatar_sat_refutation,[],[f90,f96,f111,f127,f141]) ).
fof(f141,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f139,f51]) ).
fof(f51,plain,
~ greatest(sK2,sK1,sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ~ greatest(sK2,sK1,sK0)
& total_order(sK1,sK0)
& max(sK2,sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f30,f39]) ).
fof(f39,plain,
( ? [X0,X1,X2] :
( ~ greatest(X2,X1,X0)
& total_order(X1,X0)
& max(X2,X1,X0) )
=> ( ~ greatest(sK2,sK1,sK0)
& total_order(sK1,sK0)
& max(sK2,sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1,X2] :
( ~ greatest(X2,X1,X0)
& total_order(X1,X0)
& max(X2,X1,X0) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
? [X0,X2,X1] :
( ~ greatest(X2,X1,X0)
& total_order(X1,X0)
& max(X2,X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ! [X0,X2,X1] :
( ( total_order(X1,X0)
& max(X2,X1,X0) )
=> greatest(X2,X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X1,X0,X5] :
( ( max(X5,X0,X1)
& total_order(X0,X1) )
=> greatest(X5,X0,X1) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X1,X0,X5] :
( ( max(X5,X0,X1)
& total_order(X0,X1) )
=> greatest(X5,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV5) ).
fof(f139,plain,
( greatest(sK2,sK1,sK0)
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f138,f128]) ).
fof(f128,plain,
( apply(sK1,sK2,sK2)
| ~ spl4_2
| ~ spl4_3 ),
inference(backward_demodulation,[],[f89,f106]) ).
fof(f106,plain,
( sK3(sK2,sK1,sK0) = sK2
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl4_3
<=> sK3(sK2,sK1,sK0) = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f89,plain,
( apply(sK1,sK2,sK3(sK2,sK1,sK0))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl4_2
<=> apply(sK1,sK2,sK3(sK2,sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f138,plain,
( ~ apply(sK1,sK2,sK2)
| greatest(sK2,sK1,sK0)
| ~ spl4_1
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f136,f84]) ).
fof(f84,plain,
( member(sK2,sK0)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl4_1
<=> member(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f136,plain,
( ~ member(sK2,sK0)
| greatest(sK2,sK1,sK0)
| ~ apply(sK1,sK2,sK2)
| ~ spl4_3 ),
inference(superposition,[],[f55,f106]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ apply(X1,sK3(X0,X1,X2),X0)
| ~ member(X0,X2)
| greatest(X0,X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ member(X0,X2)
| greatest(X0,X1,X2)
| ( ~ apply(X1,sK3(X0,X1,X2),X0)
& member(sK3(X0,X1,X2),X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f34,f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ apply(X1,X3,X0)
& member(X3,X2) )
=> ( ~ apply(X1,sK3(X0,X1,X2),X0)
& member(sK3(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ member(X0,X2)
| greatest(X0,X1,X2)
| ? [X3] :
( ~ apply(X1,X3,X0)
& member(X3,X2) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X1,X2,X0] :
( greatest(X0,X1,X2)
| ~ member(X0,X2)
| ? [X3] :
( ~ apply(X1,X3,X0)
& member(X3,X2) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X2,X0] :
( ( member(X0,X2)
& ! [X3] :
( member(X3,X2)
=> apply(X1,X3,X0) ) )
=> greatest(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0] :
( ( member(X0,X2)
& ! [X3] :
( member(X3,X2)
=> apply(X1,X3,X0) ) )
<=> greatest(X0,X1,X2) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X5,X0,X1] :
( ( ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X5) )
& member(X5,X1) )
<=> greatest(X5,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greatest) ).
fof(f127,plain,
( ~ spl4_1
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f126]) ).
fof(f126,plain,
( $false
| ~ spl4_1
| spl4_4 ),
inference(subsumption_resolution,[],[f125,f84]) ).
fof(f125,plain,
( ~ member(sK2,sK0)
| spl4_4 ),
inference(subsumption_resolution,[],[f123,f51]) ).
fof(f123,plain,
( greatest(sK2,sK1,sK0)
| ~ member(sK2,sK0)
| spl4_4 ),
inference(resolution,[],[f110,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( member(sK3(X0,X1,X2),X2)
| greatest(X0,X1,X2)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f110,plain,
( ~ member(sK3(sK2,sK1,sK0),sK0)
| spl4_4 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl4_4
<=> member(sK3(sK2,sK1,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f111,plain,
( spl4_3
| ~ spl4_4
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f102,f87,f108,f104]) ).
fof(f102,plain,
( ~ member(sK3(sK2,sK1,sK0),sK0)
| sK3(sK2,sK1,sK0) = sK2
| ~ spl4_2 ),
inference(resolution,[],[f89,f61]) ).
fof(f61,plain,
! [X0] :
( ~ apply(sK1,sK2,X0)
| sK2 = X0
| ~ member(X0,sK0) ),
inference(resolution,[],[f49,f53]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ max(X0,X2,X1)
| ~ member(X3,X1)
| ~ apply(X2,X0,X3)
| X0 = X3 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ max(X0,X2,X1)
| ( ! [X3] :
( X0 = X3
| ~ apply(X2,X0,X3)
| ~ member(X3,X1) )
& member(X0,X1) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0,X2] :
( ~ max(X1,X2,X0)
| ( ! [X3] :
( X1 = X3
| ~ apply(X2,X1,X3)
| ~ member(X3,X0) )
& member(X1,X0) ) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( X1 = X3
| ~ apply(X2,X1,X3)
| ~ member(X3,X0) )
& member(X1,X0) )
| ~ max(X1,X2,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( max(X1,X2,X0)
=> ( ! [X3] :
( ( apply(X2,X1,X3)
& member(X3,X0) )
=> X1 = X3 )
& member(X1,X0) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( apply(X2,X1,X3)
& member(X3,X0) )
=> X1 = X3 )
& member(X1,X0) )
<=> max(X1,X2,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X5,X0] :
( ( ! [X2] :
( ( apply(X0,X5,X2)
& member(X2,X1) )
=> X2 = X5 )
& member(X5,X1) )
<=> max(X5,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max) ).
fof(f49,plain,
max(sK2,sK1,sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f96,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f95]) ).
fof(f95,plain,
( $false
| spl4_1 ),
inference(resolution,[],[f91,f49]) ).
fof(f91,plain,
( ! [X0] : ~ max(sK2,X0,sK0)
| spl4_1 ),
inference(resolution,[],[f85,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( member(X0,X1)
| ~ max(X0,X2,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f85,plain,
( ~ member(sK2,sK0)
| spl4_1 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f90,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f81,f87,f83]) ).
fof(f81,plain,
( apply(sK1,sK2,sK3(sK2,sK1,sK0))
| ~ member(sK2,sK0) ),
inference(resolution,[],[f80,f51]) ).
fof(f80,plain,
! [X0] :
( greatest(X0,sK1,sK0)
| ~ member(X0,sK0)
| apply(sK1,X0,sK3(X0,sK1,sK0)) ),
inference(duplicate_literal_removal,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ~ member(X0,sK0)
| apply(sK1,X0,sK3(X0,sK1,sK0))
| greatest(X0,sK1,sK0)
| ~ member(X0,sK0)
| ~ member(X0,sK0)
| greatest(X0,sK1,sK0) ),
inference(resolution,[],[f65,f55]) ).
fof(f65,plain,
! [X3,X4,X5] :
( apply(sK1,sK3(X3,X4,sK0),X5)
| ~ member(X3,sK0)
| apply(sK1,X5,sK3(X3,X4,sK0))
| greatest(X3,X4,sK0)
| ~ member(X5,sK0) ),
inference(resolution,[],[f57,f54]) ).
fof(f57,plain,
! [X0,X1] :
( ~ member(X0,sK0)
| apply(sK1,X0,X1)
| ~ member(X1,sK0)
| apply(sK1,X1,X0) ),
inference(resolution,[],[f50,f44]) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( ~ total_order(X1,X0)
| apply(X1,X3,X2)
| ~ member(X2,X0)
| ~ member(X3,X0)
| apply(X1,X2,X3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ total_order(X1,X0)
| ( order(X1,X0)
& ! [X2,X3] :
( apply(X1,X3,X2)
| apply(X1,X2,X3)
| ~ member(X3,X0)
| ~ member(X2,X0) ) ) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ~ total_order(X0,X1)
| ( order(X0,X1)
& ! [X3,X2] :
( apply(X0,X2,X3)
| apply(X0,X3,X2)
| ~ member(X2,X1)
| ~ member(X3,X1) ) ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( order(X0,X1)
& ! [X3,X2] :
( apply(X0,X2,X3)
| apply(X0,X3,X2)
| ~ member(X3,X1)
| ~ member(X2,X1) ) )
| ~ total_order(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( total_order(X0,X1)
=> ( order(X0,X1)
& ! [X3,X2] :
( ( member(X3,X1)
& member(X2,X1) )
=> ( apply(X0,X2,X3)
| apply(X0,X3,X2) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ( order(X0,X1)
& ! [X3,X2] :
( ( member(X3,X1)
& member(X2,X1) )
=> ( apply(X0,X2,X3)
| apply(X0,X3,X2) ) ) )
<=> total_order(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_order) ).
fof(f50,plain,
total_order(sK1,sK0),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:31:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (24077)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (24077)First to succeed.
% 0.21/0.52 % (24069)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.52 % (24086)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (24068)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.53 % (24067)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.53 % (24087)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.53 % (24077)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (24077)------------------------------
% 0.21/0.53 % (24077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (24077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (24077)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (24077)Memory used [KB]: 6140
% 0.21/0.53 % (24077)Time elapsed: 0.117 s
% 0.21/0.53 % (24077)Instructions burned: 6 (million)
% 0.21/0.53 % (24077)------------------------------
% 0.21/0.53 % (24077)------------------------------
% 0.21/0.53 % (24060)Success in time 0.173 s
%------------------------------------------------------------------------------